FRACTIONS
Comparing Fractions with Unlike Denominators
When Fractions have Different Denominators,
those Fractions must first be changed to Fractions with
Like Denominators.
| 3  4 |
5  8 |
To change these fractions to like denominators, first find
the least common denominator.
The least common denominator of 4 and 8 is 8.
Divide the least common denominator of the fractions
by the denominator of the first fraction.
4 |
8 ÷ 4 = 2 |
Then multiply both the numerator and the denominator of the
first fraction by that same number.
| 3 x  2  =  4 x  2  = |
6  8 |
Do the same for the second fraction.
| 5 8 |
8 ÷ 8 = 1 |
| 5 x  1  =  8 x  1  = |
5  8 |
With like denominators, the two fractions can now be compared.
|
8 |
is greater than |
8 |
||
therefore |
||||
|
4 |
is greater than |
8 |
RULE
Comparing Fractions with Unlike Denominators
First find the Least Common Denominator.
Then change those Fractions to Fractions with Like Denominators.